Search a number
-
+
19983227040 = 2533572671409
BaseRepresentation
bin10010100111000101…
…111101100010100000
31220120122222010002000
4102213011331202200
5311411201231130
613102525524000
71305126425100
oct224705754240
956518863060
1019983227040
118525013277
123a58413600
131b660842ca
14d77d9b200
157be556260
hex4a717d8a0

19983227040 has 576 divisors, whose sum is σ = 82633219200. Its totient is φ = 4496228352.

The previous prime is 19983227009. The next prime is 19983227041. The reversal of 19983227040 is 4072238991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19983227041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14181856 + ... + 14183264.

It is an arithmetic number, because the mean of its divisors is an integer number (143460450).

Almost surely, 219983227040 is an apocalyptic number.

19983227040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19983227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41316609600).

19983227040 is an abundant number, since it is smaller than the sum of its proper divisors (62649992160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19983227040 is a wasteful number, since it uses less digits than its factorization.

19983227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19983227040 in words is "nineteen billion, nine hundred eighty-three million, two hundred twenty-seven thousand, forty".